(i5-4460 + ASRock H81M-HDS ) or ( fx-6300 + ASUS M5A97 R2.0)

Solution
I5 4460 for sure its a lot stronger than FX 6300 .
Note: Not all H81 board support the I5 4460 so before getting the board make sure if it supports haswel refresh processor without a BIOS update.